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iGCSE (2021 Edition)

21.08 Direct and inverse variation (Extended)

Interactive practice questions

Suppose the constant of variation $k$k is positive.

a

If $y$y varies directly as $x$x, which of the following is true?

When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.

A

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

C

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.

D
b

If $y$y varies inversely as $x$x, which of the following is true?

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y increases.

A

When $x$x increases, $y$y increases. When $x$x decreases, $y$y decreases.

B

When $x$x increases, $y$y decreases. When $x$x decreases, $y$y decreases.

C

When $x$x increases, $y$y increases. When $x$x decreases, $y$y increases.

D
Easy
1min

Does the equation $y=5x$y=5x represent direct or inverse variation?

Easy
< 1min

Does the equation $y=\frac{5}{x}$y=5x represent direct or inverse variation?

Easy
< 1min

The period of a pendulum varies directly with the square root of its length.

If the length is quadrupled, what happens to the period?

Easy
< 1min
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Outcomes

0580E2.8

Express direct and inverse proportion in algebraic terms and use this form of expression to find unknown quantities.

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